Finding the Third Proportional to 413,856 and 907,200
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Solution
The third proportional to 413,856 and 907,200 is: 1,988,643.01
Step by Step Solution
- Step 1: Write the proportion equation
413,856 : 907,200 = 907,200 : x - Step 2: Convert to fraction form
413,856/907,200 = 907,200/x - Step 3: Cross multiply
413,856x = 907,200 × 907,200 - Step 4: Simplify right side
413,856x = 823,011,840,000 - Step 5: Solve for x
x = 823,011,840,000/413,856 - Step 6: Final answer
x = 1,988,643.01
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.